969767 divided by 91 
Our goal is to divide 969767 by 91.

Going ahead to step 1:
If we divide 9 by 91, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 91

Let's proceed to step 2:
91 can be fit into 96 1 times, resulting in a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 91 from 96 to get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 91

Moving on to step 3:
If we divide 59 by 91, we get 0 and a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 59 and we're left with 59.
Append the next digit (7) from the dividend to 59 and continue with: 597 / 91

On to step 4:
If we divide 597 by 91, we get 6 and a remainder of 51.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
Deduct 546 from 597 and we're left with 51.
Grab the next digit (6) from the dividend, add it to 51, then carry on: 516 / 91

Step 5:
516 divided by 91 is 5 with a remainder of 61.
Put 5 as the next digit of the answer. 
Result so far: 1065.0
Subtract 455 from 516 to get 61.
Grab the next digit (7) from the dividend, add it to 61, then carry on: 617 / 91

Going ahead to step 6:
The number 91 fits into 617 6 times, leaving a remainder of 71.
The next digit of our result is 6. 
Result so far: 10656.0
If we take 546 away from 617, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 7:
710 divided by 91 is 7 with a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 10656.7
Deduct 637 from 710 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 8:
If we divide 730 by 91, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10656.78
Deduct 728 from 730 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
If we divide 20 by 91, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10656.78
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
91 goes into 200 2 times with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 10656.7802
Subtract 182 from 200 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
180 divided by 91 is 1 with a remainder of 89.
Put 1 as the next digit of the answer. 
Result so far: 10656.78021
The remainder is 89 after subtracting 91 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Moving on to step 12:
If we divide 890 by 91, we get 9 and a remainder of 71.
The next digit of our result is 9. 
Result so far: 10656.780219
Subtracting 819 from 890 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 13:
If we divide 710 by 91, we get 7 and a remainder of 73.
Use 7 as the next digit of our solution. 
Result so far: 10656.7802197
The remainder is 73 after subtracting 637 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 14:
91 can be fit into 730 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 10656.78021978
Deduct 728 from 730 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 10656.78021978 with a remainder of 2e-09.